Online GCD Calculator is useful to find the GCD of 560, 429, 965, 289 quickly. Get the easiest ways to solve the greatest common divisor of 560, 429, 965, 289 i.e 1 in different methods as follows.
Given Input numbers are 560, 429, 965, 289
In the factoring method, we have to find the divisors of all numbers
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 965 :
The positive integer divisors of 965 that completely divides 965 are.
1, 5, 193, 965
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
GCD of numbers is the greatest common divisor
So, the GCD (560, 429, 965, 289) = 1.
Given numbers are 560, 429, 965, 289
The list of prime factors of all numbers are
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 429 are 3 x 11 x 13
Prime factors of 965 are 5 x 193
Prime factors of 289 are 17 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 560, 429, 965, 289
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(560, 429) = 240240
GCD(560, 429) = ( 560 x 429 ) / 240240
= 560 / 429
= 560
Step2:
LCM(1, 965) = 965
GCD(1, 965) = ( 1 x 965 ) / 965
= 1 / 965
= 1
Step3:
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
= 1 / 289
= 1
So, Greatest Common Divisor of 560, 429, 965, 289 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 560, 429, 965, 289
The greatest common divisor of numbers 560, 429, 965, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 429, 965, 289 is 1.
1. What is the GCD of 560, 429, 965, 289?
GCD of given numbers 560, 429, 965, 289 is 1
2. How to calculate the greatest common divisor of 560, 429, 965, 289?
We can find the highest common divisor of 560, 429, 965, 289 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 560, 429, 965, 289 i.e 1.
3. How can I use the GCD of 560, 429, 965, 289Calculator?
Out the numbers 560, 429, 965, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.